Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate

Journal article

Authors/Editors

USA HUMPHRIES

Strategic Research Themes

Other (Strategic Research Themes)

Publication Details

Author list: Khan A., Zarin R., Hussain G., Usman A.H., Humphries U.W., Gomez-Aguilar J.F.

Publisher: Elsevier

Publication year: 2021

Volume number: 22

ISSN: 22113797

eISSN: 2211-3797

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85100191904&doi=10.1016%2fj.rinp.2021.103836&partnerID=40&md5=31ab704a40ae5690a651bda19714bf3b

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we study the qualitative analysis of the Hepatitis B epidemic model with convex incidence rate. First, we formulate the model without control and study local and global stability. We show the global stability of disease-free equilibrium using the method of Castillo-Chavez while for disease-endemic, we use the method of geometrical approach. Furthermore, we develop the proposed model with suitable optimal control strategies. We aim to minimize the infection of Hepatitis B in the host population. In order to do this, we use three control variables. Moreover, sensitivity analysis complemented by simulations is performed to assess how parameters changes affect the dynamical behavior of the system. The numerical simulations are performed to show the feasibility of the control strategy and the effectiveness of the theoretical results. © 2021 The Author(s)

Keywords

Hepatitis B modelStability analysisOptimal control theorySensitivity analysisNumerical simulation